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Finding the Third Proportional to 275,396 and 604,991

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Solution

The third proportional to 275,396 and 604,991 is: 1,329,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,396 : 604,991 = 604,991 : x
  2. Step 2: Convert to fraction form
    275,396/604,991 = 604,991/x
  3. Step 3: Cross multiply
    275,396x = 604,991 × 604,991
  4. Step 4: Simplify right side
    275,396x = 366,014,110,081
  5. Step 5: Solve for x
    x = 366,014,110,081/275,396
  6. Step 6: Final answer
    x = 1,329,046.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.